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Finding the Fourth Proportional to 1,966.75, 2,712.90 and 1,303.36

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Solution

The fourth proportional to 1,966.75, 2,712.90 and 1,303.36 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.75 : 2,712.90 = 1,303.36 : x
  2. Step 2: Convert to fraction form
    1,966.75/2,712.90 = 1,303.36/x
  3. Step 3: Cross multiply
    1,966.75x = 2,712.90 × 1,303.36
  4. Step 4: Simplify right side
    1,966.75x = 3,535,885.34
  5. Step 5: Solve for x
    x = 3,535,885.34/1,966.75
  6. Step 6: Final answer
    x = 1,797.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.